Certificate for #20317 ⟨a, b | aba=b, bbbb=abb⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(b) = 0; deg(a) = 1

Axiom: aba=b.

Defines rule #4.

Referenced by [3], [4].

Axiom: bbbb=abb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

Overlap of [1] aba=b with [1] aba=b:

Critical pair: abb=bba.

Reduce LHS:

Flip LHS and RHS.

Defines rule #3.

Overlap of [1] aba=b with [2] abb=bbbb:

Critical pair: abbbbb=bbb.

Reduce LHS:

Defines rule #1.